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Finding the Fourth Proportional to 943.68, 1,415.94 and 532.20

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Solution

The fourth proportional to 943.68, 1,415.94 and 532.20 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.68 : 1,415.94 = 532.20 : x
  2. Step 2: Convert to fraction form
    943.68/1,415.94 = 532.20/x
  3. Step 3: Cross multiply
    943.68x = 1,415.94 × 532.20
  4. Step 4: Simplify right side
    943.68x = 753,563.27
  5. Step 5: Solve for x
    x = 753,563.27/943.68
  6. Step 6: Final answer
    x = 798.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.